How many hydrogen ions are present in `1ml` of a solution of `pH=13`?

Options

A. `6.02 xx 10^(13)`
B. `6.02 xx 10^(12)`
C. `6.02 xx 10^(7)`
D. `6.02 xx 10^(5)`

Answer

C

Explanation

pH=13
`-log[H^(+)]=13`
`or [H^(+)]=13`
`or [H^(+)]=10^(-13)"mole/litre"`
`[H^(+)]" in 1 ml="10^(-16)"moles"`
1 mole `H^(+)` contains `6.023 xx 10^(23)H^(+)"ions"`
No. of `H^(+)` ions in `10^(-16)` moles
`=6.023 xx 10^(23) xx 10^(-16)=6.023 xx 106^(7)`